Step-by-step explanation:
you had it in the line before already. you only need to copy the whole line.
y = -2x + 10
so, what caused that brain freeze ? :-)
Find the slope of the line
A -3
B 3
C -2
D 2
Find the system of inequalities representing the given situation?
The question was written by the student in a comment because the image contains no question at all.
Kathy sells candles for $3 and flowers for $5. She plans to sell at least 200 items and likes to earn a minimum of $2500.Answer:
\(\left\{\begin{matrix}x + y = 200\\ 3x + 5y = 2500\end{matrix}\right\)
Step-by-step explanation:
System of equations
Kathy sells candles for $3 and flowers for $5. Let's set the following variables:
x = number of candles Kathy sells
y = number of flowers Kathy sells
She plans to sell 200 items, thus:
x + y = 200
She also likes to earn $2,500. The equation for this condition is:
3x + 5y = 2500
The system of equations is
\(\left\{\begin{matrix}x + y = 200\\ 3x + 5y = 2500\end{matrix}\right\)
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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5. Ángulos Un ángulo recto se divide en tres ángulos más pequeños. El más grande de
los tres mide el doble del más pequeño. El ángulo restante mide 10º más que el ángulo
más pequeño. Determine la medida de cada ángulo.
Answer:
Disculpe, ¿esta es la pregunta completa?
In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.
Parts of an AngleThere are two main parts related to an angle - the arms and the vertex.
Arms of the AngleThe two rays which join at a common point to form the angle are called the arms of the angle.
given:
angle= 90
let the smaller angle is x
largest angle= 2x
and the third angle = x+ 10
Now
x+ (x +10) +2x= 90
4x + 10= 90
4x= 80
x= 20
So,
smallest angle= 20
second angle= x+10= 30
largest angle= 2x= 2*20 = 40
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The translation of the question is:
A right angle is divided into three smaller angles. The largest of
all three are twice the size of the smallest. The remaining angle measures 10º more than the angle.
smaller. Determine the measure of each angle.
1. How many multiples of 5 are there in between 14 and 345?
Answer:
Step-by-step explanation:
66
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Explain what is wrong with the following argument - be specific.
lim x→2 x^2 +3x-10/x^2-x-2 = (x-2)(x+5)/(x-2)(x+1) = x+5/x+1 = 2+5/2+1 = 7/3
Step-by-step explanation:
brackets are missing.
it should look like
lim x→2 (x² + 3x - 10)/(x² - x - 2) =
= (x - 2)(x + 5)/((x - 2)(x + 1)) = (x + 5)/(x + 1) =
= (2 + 5)/(2 + 1) = 7/3
content-wise there is nothing wrong with the argument.
left and right limits are the same.
so, the result is correct.
5. There are three different sections to sit in at a baseball park. The Red
Section seats 200 people; The Blue Section seats 20 fewer people than
the Red Section; the Green section seats 2 times as many people as the
Blue section. What is the total number of people who can sit in the
baseball park? (4.0A.2
260
380
640
740
Answer:
B. 360
Step-by-step explanation:
200 - 20 = 180
180 x 2 = 360
Solve for x: log4 (- 6) = 3
Answer: x=log (64^-1/6)
10
Step-by-step explanation: I took the test.
Hope this helps :)
Please mark me as brainliest.
Solve the following equation for x.
|x/4+3|<6
Answer:
x<12
Step-by-step explanation:
subtract both sides by -3 because you need to isolate x. then you have x/4<3. now you need to get rid of the 4. so you do the opposite of division and multiply 4 by both sides so you get x<12
Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound.
How can you use this info to assess the possible cost of the service project? If the Senior Class collects 235 pounds of trash, what is the cost
going to be?
Answer:
$17,640
Step-by-step explanation:
Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost is going to be $17,640.
235 ⋅ 75 = 17,625
17,625 + 15 = 17,640
Therefore, the answer is $17,640.
Bakeware, a bake, ware production company, has a production cost of $6 per round cake pan. Each round cake pan sells for $15. Bakeware's monthly fixed cost is $180,000.
A. Find the break-even quantity.
B. Find the break-even revenue.
C. Find the break-even point.
D. If the company produces and sells 15,000 pans, will this result in a profit or a loss?
E. If the company produces and sells 28,000 pans, will this result in a profit or a loss?
Answer:
your cheating
Step-by-step explanation:
stopppp
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Answer to this problem
Answer:
The answer would be E, the tire makes 700 revolutions in 2 minutes.
Step-by-step explanation:
One revolution is equal to the circumference of the tire :
\(C = 2\pi r = 2(1)(\frac{22}{7} ) = \frac{44}{7}\)
The car travels at 2,200 feet per minute. To calculate the number of revolutions, divide the speed by the circumference.
\(2,200\) ÷ \(\frac{44}{7}\) = 350
This means that in 1 minute the tire makes 350 revolutions. To find out how many revolutions the tire would make for 2 minutes you simply multiply by 2.
350*2 = 700
So the answer would be E, the tire makes 700 revolutions in 2 minutes. Hope this helps, please mark brainliest!
40% of x is 35.
Write an equation that shows the relationship of 40%, x, and 35.
Use your equation to find x. Show your reasoning.
i really need help
A gumball machine has 2,120 gumballs. Mike
bought 20 gumballs, which were dispensed
randomly. The results are in the table below.
How many of each color gumball do you predict
are in the machine?
Blue
5
Red
1
Green
8
Pink
4
Yellow
2
Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.
How to calculate the amount of gum of each color that was in the machine?To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:
20 gums = 5 blue gums2,120 gum = ? blue gum2,120 * 5 / 20 = 530 blue gumballs20 gums = 1 red gums2,120 gum = ? red gum2,120 * 1 / 20 = 106 red gumballs20 gums = 8 green gums2,120 gum = ? green gum2,120 * 8 / 20 = 848 green gums20 gums = 4 pink gums2,120 gum = ? pink gum2,120 * 4 / 20 = 424 pink gumballs20 gums = 2 yellow gums2,120 gum = ? yellow gum2,120 * 2 / 20 = 212 yellow gumballsLearn more about gumballs in: https://brainly.com/question/428165
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Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?
bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.
Let's assume the original price of an item is $100.
The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.
The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.
Therefore, the final price you end up paying after both discounts is $22.50.\
To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:
Percent of original price = (final price / original price) * 100
In this case, the final price is $22.50 and the original price is $100:
Percent of original price = ($22.50 / $100) * 100
= 0.225 * 100
= 22.5%
Therefore, you end up paying 22.5% of the original price after the discounts.
It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.
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Which is greater, 9 x 10^-2 or 3 x 10^-4? How many times greater is the number you chose than the other number? Explain your reasoning.
Answer:
The solution to 9x10^-2 is 0.09 or (3/10)^2. The solution to 3x10^-4 is 0.0003 or 3/10000. Based on that, 9x10^-2 fits into 3x10^-4 three-hundred (300) times.
(X)=x3-22x2+157x-360
Answer:
Step-by-step explanation:
x1 = x2 = 6
x3 = 10
this is it im pretty sure
-3|2x+1|<4 how is this solved
Answer:
True for all x
Step-by-step explanation:
Multiply by -1. This reverses the inequality.\(-3\left|2x+1\right| < 4\\\left(-3\left|2x+1\right|\right)\left(-1\right) > 4\left(-1\right)\)
Remember: Negative * Positive = NegativeRemember: Negative * Negative = Positive\(3\left|2x+1\right| > -4:\:Solve\\4\times -1 = -4\\\left(-3|2x+1|\right)\left(-1\right)\\\left(-3\times -1\right)\\\left(-3|2x+1|)\)
Divide by 3\(=\frac{3\left|2x+1\right|}{3} > \frac{-4}{3}\)
___________
\(\frac{3\left|2x+1\right|}{3}\\\frac{3}{3}\\= \frac{1}{1}\)
___________
\(= \frac{1}{1} > \frac{-4}{3}\)
___________
\(-\frac{4}{3}\\= -\frac{4}{3}\)
Because absolute values are greater than or equal to 0, the problem will be classified as "True" for any value of x no matter what.Hope this helps.
Well guys I hope you guys know the answer for this question. Help please ASAP. Thank you
Answer: D) The linear model shows a strong fit to the data
The actual strength of the relationship is unknown unless we have the actual values of each data point (so we can compute the correlation coefficient r), but the residuals are randomly scattered about both above and below the horizontal axis. This means we have a fairly good linear fit. If all of the points were above the line, or all below the line, or all residuals fit a certain pattern (eg: parabola), then it wouldn't be a good linear fit.
Jake measured a hotel and made a scale drawing. The scale of the drawing was 8 inches : 7 feet. If the actual length of a room in the hotel is 21 feet, how long is the room in the drawing?
Jake measured a hotel and made a scale drawing, the length of the room in the drawing is 24 inches.
If the scale of the drawing is 8 inches : 7 feet, this means that for every 8 inches in the drawing, there are 7 feet in real life.
To find out length of the room is in the drawing, we need to set up a proportion:
8 inches / 7 feet = x inches / 21 feet
where x is the length of the room in the drawing.
We can cross-multiply and solve for x:
8 inches × 21 feet = 7 feet × x inches
168 inches = 7 feet × x inches
Dividing both sides by 7, we get:
24 inches = x
Therefore, the length of the room in the drawing is 24 inches.
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I have 3 red balls, 3 blue balls and 3 yellow balls in a box. Total of 9 balls. Let's say that I randomly pick 3 balls, what are the chances of having at least 2 red balls in the 3 that I picked?
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.
If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,
P = 3/9
P = 1/3
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
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9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
Compute the required rate of return on two stocks with beta values of 0.5 and 2 respectively assuming the risk-
free rate of 5% and the market return of 10% using the capital asset pricing model. Please show work. Thank you.
The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.
What is Rate of return?Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.
What is stock?A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.
According to the given information:
The Capital Asset Pricing Model (CAPM) is expressed as:
R = Rf + beta*(Rm - Rf)
Where:
R = Required rate of return
Rf = Risk-free rate of return
beta = Beta coefficient (systematic risk)
Rm = Expected market return
Using the given values, we can compute the required rate of return for each stock:
Stock with beta of 0.5:
R = 5% + 0.5*(10% - 5%)
R = 7.5%
Stock with beta of 2:
R = 5% + 2*(10% - 5%)
R = 15%
Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.
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|2x| if x<0
Help please
The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value
If x<0, then the expression |2x| simplifies to -2x.
The absolute value of a number is the distance of the number from zero on the number line.
Since x is negative in this case, 2x will be negative as well.
Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.
However, since we know that x<0, this means that -2x will always be a positive number.
Hence, the expression simplifies to |2x| = -2x, when x<0.
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Complete question
Simplify the expression |2x| when x is less than 0, x<0
Recall swinging on a swingset as a kid. Assuming the chains or ropes for the swing were kept taut, the seat of the swing traced a circular arc. Now suppose you're on a swing hanging from ropes which are 6 ft long such that the seat is positioned 2 ft above the ground at rest. You swing forth to a terminal position /4 radians from your initial position at rest on the swing. At the height of your swing forth how high are you off the ground?
At the height of the swing forth, the swing seat would be at a maximum height of 2 + (6 * (1 - cos(pi/4))) = 4 feet above the ground.
What is cosine?
Cosine is a trigonometric function that relates the length of the adjacent side of a right triangle to the length of the opposite side to the hypotenuse. It is represented by "cos" and its formula is cos(x) = adjacent / hypotenuse. It is commonly used in mathematics, physics, and engineering to solve problems related to angles and vectors.
Cosine is a fundamental trigonometric function that is used in many areas of mathematics, physics, and engineering. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle. It can also be defined as the dot product of the unit vector pointing in the direction of the angle and the unit vector pointing in the direction of the adjacent side. Cosine is periodic with a period of 2π and is always between -1 and 1, inclusive. It has many important properties and relationships with other trigonometric functions such as sine, tangent, and cotangent.
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Eight bricks are laid end to end along the edge of a flower bed. Each brick is inches long. How long is the row of bricks, in inches?
Eight bricks are laid end to end along the edge of a flower bed.
Each brick is 11/2 inches long. How long is the row of bricks, in inches?
11/2 inches
A average row of bricks is 7-1/2 inches
11/2 x 7-1/2 = 38
38 inches
Answer:
1.5 times 8 equals 12. The row of bricks is 12 inches long